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Elena-2011 [213]
4 years ago
14

Express the following as a function of a single angle. sin340cos120 - cos340sin120

Mathematics
1 answer:
Dima020 [189]4 years ago
8 0
Hope this helps you.

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The sum of two numbers is 33. One number is 17 less than the other. Find the numbers. the smaller number is ? The larger number
Genrish500 [490]

Answer:

8 and 25

Step-by-step explanation:

We can set up an equation to help solve this problem.

Let x represent the smaller number

x+(x+17)=33

2x+17=33

2x=16

x=8

The smaller number is 8

Add 17 to 8

The larger number is 25

8 0
3 years ago
Read 2 more answers
What is the area of the trapezoid?
storchak [24]

Answer:

A = 70 mm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 10, b₁ = 10, b₂ = 4 , then

A = \frac{1}{2} × 10 × (10 + 4) = 5 × 14 = 70 mm²

7 0
3 years ago
Mr smith owns a bike store and typically marks up the bikes 20% over the price that the bikes cost him. The bikes cost him 69.95
ICE Princess25 [194]

Answer: $83.94

Step-by-step explanation:

  • 20% = 0.2

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

8 0
3 years ago
Which composition of transformations will create a pair of similar
Romashka [77]

Answer:

A rotation, then a dilation

Step-by-step explanation:

When two triangles are congruent, the three sides and angles will be the same.

A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure.

Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.

8 0
3 years ago
The top of an off shore oil rig has an elevation of 199.2 m and its base has an elevation of -9.6 m and observation deck is loca
matrenka [14]

Answer: 57.6m

Step-by-step explanation:

That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information

199.2m= top of off shore oil rig

-9.6 m is the base of the rig

observation deck is 1/6 of the total height

helly pad is 22.8m above the observation deck

First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m

So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m

Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.

Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m

So we know the total height is 208.8m

The observation deck is 34.8m

And the helly pad is 57.6m

7 0
3 years ago
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